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Effects of increasing fuzziness on analytic hierarchy process for spatial multicriteria decision analysis

机译:模糊性增加对空间多准则决策分析层次分析过程的影响

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摘要

Multicriteria decision analysis (MCDA) involves techniques which relatively recently have received great increase in interest for their capabilities of solving spatial decision problems. One of the most frequently used techniques of MCDA is Analytic Hierarchy Process (AHP). In the AHP, decision-makers make pairwise comparisons between different criteria to obtain values of their relative importance. The AHP initially only dealt with crisp numbers or exact values in the pairwise comparisons, but later it has been modified and adapted to also consider fuzzy values. It is necessary to empirically validate the ability of the fuzzified AHP for solving spatial problems. Further, the effects of different levels of fuzzification on the method have to be studied. In the context of a hypothetical GIS-based decision-making problem of locating a dam in Costa Rica using real-world data, this paper illustrates and compares the effects of increasing levels of uncertainty exemplified through different levels of fuzzification of the AHP. Practical comparison of the methods in this work, in accordance with the theoretical research, revealed that by increasing the level of uncertainty or fuzziness in the fuzzy AHP, differences between results of the conventional and fuzzy AHPs become more significant. These differences in the results of the methods may affect the final decisions in decision-making processes. This study concludes that the AHP is sensitive to the level of fuzzification and decision-makers should be aware of this sensitivity while using the fuzzy AHP. Furthermore, the methodology described may serve as a guideline on how to perform a sensitivity analysis in spatial MCDA. Depending on the character of criteria weights, i.e. the degree of fuzzification, and its impact on the results of a selected decision rule (e.g. AHP), the results from a fuzzy analysis may be used to produce sensitivity estimates for crisp AHP MCDA methods.
机译:多准则决策分析(MCDA)涉及相对较新的技术,因为它们具有解决空间决策问题的能力。 MCDA最常用的技术之一是层次分析法(AHP)。在层次分析法中,决策者在不同标准之间进行成对比较,以获得其相对重要性的值。 AHP最初仅在成对比较中处理清晰的数字或精确值,但后来进行了修改并适用于考虑模糊值。有必要凭经验验证模糊AHP解决空间问题的能力。此外,必须研究不同程度的模糊化对该方法的影响。在使用实际数据基于哥斯达黎加的大坝定位的假设的基于决策的决策问题的背景下,本文说明并比较了通过层次分析法的不同模糊化水平举例说明的不确定性增加水平的影响。根据理论研究,该工作中方法的实际比较表明,通过增加模糊层次分析法的不确定性或模糊性水平,常规层次分析法和模糊层次分析法的结果之间的差异变得更加明显。方法结果的这些差异可能会影响决策过程中的最终决策。这项研究得出的结论是,层次分析法对模糊化程度很敏感,决策者在使用模糊层次分析法时应意识到这种敏感性。此外,所描述的方法可以作为如何在空间MCDA中执行敏感性分析的指南。根据标准权重的特性(即模糊程度)及其对所选决策规则(例如AHP)结果的影响,可以将模糊分析的结果用于为清晰的AHP MCDA方法得出灵敏度估计值。

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